Results 1 to 10 of about 392,212 (326)

Perfectoid Drinfeld Modular Forms [PDF]

Journal de théorie des nombres de Bordeaux, 2022
In the first part, we revisit Drinfeld modular curves associated to GL(2) from the perfectoid point of view, and we show how to recover (a perfectized) part of the theory of overconvergent π-adic Drinfeld modular forms. In the second part, we review open problems for families of Drinfeld modular forms for GL(n).
Marc-Hubert Nicole, Giovanni Rosso
openalex   +3 more sources

Modular Forms and Weierstrass Mock Modular Forms [PDF]

Mathematics, 2016
Alfes, Griffin, Ono, and Rolen have shown that the harmonic Maass forms arising from Weierstrass ζ-functions associated to modular elliptic curves “encode” the vanishing and nonvanishing for central values and derivatives of twisted Hasse-Weil L ...
Amanda Clemm
doaj   +3 more sources

Mock modular forms as $p$-adic modular forms [PDF]

Transactions of the American Mathematical Society, 2012
17 ...
Bringmann, Kathrin, Guerzhoy, Pavel, KANE, BEN   +2 more
openaire   +7 more sources

MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS [PDF]

Forum of Mathematics, Pi, 2013
Ramanujan’s last letter to Hardy concerns the asymptotic properties of modular forms and his ‘mock theta functions’. For the mock theta function $f(q)$, Ramanujan claims that as $q$ approaches an even-order $2k$ root of unity, we have $$\begin{eqnarray ...
AMANDA FOLSOM, KEN ONO, ROBERT C. RHOADES   +2 more
doaj   +2 more sources

Computing Hilbert modular forms as orthogonal modular forms [PDF]

31 ...
Jeffery P. Hein, Gonzalo Tornaría, John Voight   +2 more
openalex   +3 more sources

Seven Small Simple Groups Not Previously Known to Be Galois Over $\mathbb{Q}$

Mathematics, 2022
In this note we realize seven small simple groups as Galois groups over Q. The technique that we employ is the determination of the images of Galois representations attached to modular and automorphic forms, relying in two cases on recent results of ...
Luis Dieulefait, Enric Florit, Núria Vila   +2 more
doaj   +1 more source

On the modularity of certain functions from the Gromov–Witten theory of elliptic orbifolds [PDF]

Royal Society Open Science, 2015
In this paper, we study modularity of several functions which naturally arose in a recent paper of Lau and Zhou on open Gromov–Witten potentials of elliptic orbifolds.
Kathrin Bringmann, Larry Rolen, Sander Zwegers   +2 more
doaj   +1 more source

Modular flavor symmetry and vector-valued modular forms

Journal of High Energy Physics, 2022
We revisit the modular flavor symmetry from a more general perspective. The scalar modular forms of principal congruence subgroups are extended to the vector-valued modular forms, then we have more possible finite modular groups including Γ N and Γ N ′ $$
Xiang-Gan Liu, Gui-Jun Ding
doaj   +1 more source

sl(2)ˆ decomposition of denominator formulae of some BKM Lie superalgebras

Nuclear Physics B, 2021
We study a family of Siegel modular forms that are constructed using Jacobi forms that arise in Umbral moonshine. All but one of them arise as the Weyl-Kac-Borcherds denominator formula of some Borcherds-Kac-Moody (BKM) Lie superalgebras.
Suresh Govindarajan, Mohammad Shabbir, Sankaran Viswanath   +2 more
doaj   +1 more source

4-manifolds and topological modular forms

Journal of High Energy Physics, 2021
We build a connection between topology of smooth 4-manifolds and the theory of topological modular forms by considering topologically twisted compactification of 6d (1, 0) theories on 4-manifolds with flavor symmetry backgrounds.
Sergei Gukov, Du Pei, Pavel Putrov, Cumrun Vafa   +3 more
doaj   +1 more source